The worm process for the Ising model is rapidly mixing
classification
🧮 math.PR
cond-mat.stat-mechmath-phmath.COmath.MP
keywords
isingmixingmodelprocesswormapproximationcertainconnected
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We prove rapid mixing of the worm process for the zero-field ferromagnetic Ising model, on all finite connected graphs, and at all temperatures. As a corollary, we obtain a fully-polynomial randomized approximation scheme for the Ising susceptibility, and for a certain restriction of the two-point correlation function
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